A random sample of 100 individuals finds a sample mean value of 22 and sample standard deviation of 3. What is the 99% confidence interval for the population mean? A random sample of 100 individuals finds a sample mean value of 22 and sample standard deviation of 3. What is the 99% confidence interval for the population mean? D. [21.30 , 22.70] B. [21.07 , 22.93] C. [21.01, 22.99] A. [21.23 , 22.77]

Answer:

10

Step-by-step explanation:

50.75 = 50

0.18 = 0.2

50x 0.2 = 50/5

50/5 = 10

Reason:

Subtract 3x from both sides. They cancel out and go away. The x term is fully eliminated and we're left with the equation 8 = 9, which is a false statement. Therefore, the original equation is always false regardless of what you pick for x. This is why there aren't any solutions.

Visually you can graph y = 3x+8 and y = 3x+9. You'll get parallel lines that never intersect. We need the lines to intersect if we wanted a solution point. Parallel lines have the same slope, but different y intercepts.

Because the system has no solutions, we consider the system inconsistent.

The raw score x, corresponding to z = 2 is calculated as; 90

We are given;

Population Mean; μ = 78

Sample mean; x' = ?

Population standard deviation; σ = 6

z-score; z = 2

The formula for z-score is;

z = (x' - μ)/σ

Thus, making x' the sample mean the subject of the formula gives;

x' = zσ + μ

Plugging in the relevant values gives;

x' = (2 * 6) + 78

x' = 12 + 78

x' = 90

Thus, the raw score x, corresponding to z = 2 is 90

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Answer:

36 min

Step-by-step explanation:

rate b = 1 / 90

rate m = 1/60

now add the rates together for 1 lawn

1 lawn / (1/60 + 1/90) = 36 min

Answer:

4x+8=3x-6

4x-3x=-6-8

x= -14 answer

hope you understand

Answer:

[tex]x=-14[/tex]

Step-by-step explanation:

Given coefficients: a = 4, b = x, c = 2

[tex]4\left(x+2\right)\\=4x+(4\cdot \:2)\\=4x+8\\3\left(x-2\right)\\=3x-(3\cdot \:2)\\=3x-6\\4x+8=3x-6\\4x+8-8=3x-6-8\\4x=3x-14\\4x-3x=3x-14-3x\\=-14[/tex]

The value equal to the direct opposite of Samantha's hike from her camp = -18 yards.

As per the given question;

Samantha descends a mountain from her camp.

Samantha discovered that she was 18 yards below the camp on the path she was on.

To locate the value that is the inverse of the distance Samantha hiked from her camp.

Samantha was 18 yards away from the camp.

Samantha hiked for 18 yards underneath the camp (in downwards )

Therefore;

Samantha hiked the opposite distance of 18 yards from the camp.

Samantha hiked for -18 yards.

Thus, the value equal to the inverse of the distance Samantha hiked from her tent = -18 yards

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Answer: 18

Step-by-step explanation:

Answer:

[tex](x^2y^5)5 = 5x^2y^5[/tex]

Step-by-step explanation:

Remove the parentheses to factor.

[tex]= x^2y^5 \times 5[/tex]

Flip the expression, creating a leading term and simplifying the equation.

[tex]= 5x^2y^5[/tex]

Answer: 22.5

Step-by-step explanation:

25% is [tex]\frac{1}{4}[/tex] of 100%

So, 90/4 = 22.5

Answer:

22.5

Step-by-step explanation:

10% of 90 is 9

Multiply that by 2 then you get 18.

Half of 10% will give you the remaining 5% which is 4.5

Then add 18 and 4.5 you 22.5

The distance between two points A (-10, -7) and B(-8,1) will be equal to 8.2 units.

What do you mean by the distance between points ?

Distance between two points is the length of the line segment that connects the two locations in a plane.

It is given that the distance between points A (-10, -7) and B(-8,1) is to be calculated.

We can find out the distance by using the distance formula which is given by :

AB = [tex]\sqrt({x_{2} - x_{1})^2 + (y_{2}- y_{1})^2}[/tex]

AB = √ [( -8 -(-10)]^2 + [ 1 - (-7)]^2}

AB = √ (2² + 8²)

AB = √68

AB = 8.24 units

If we round off it to the nearest tenth then , hundredth place is less than 5 that meant 2 will be at the tenths place.

or

AB = 8.2 units.

Therefore , the distance between two points A (-10, -7) and B(-8,1) will be equal to 8.2 units.

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Answer:

hey the answer is d(0,4)

Answer:

It is D

Step-by-step explanation:

I've done this problem before

Simplifying the expression y to the negative seventh power over x to the negative third power using law of exponents gives; x³y⁷

Some of the Laws of Exponents are;

We want to simplify y to the negative seventh power over x to the negative third power. This is expressed as;

y⁷/x⁻³

Now, x⁻³ can also be expressed as 1/x³. Thus, our original equation is now; y⁷/(1/x³) = x³y⁷

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Answer: A. 5.19$

Step-by-step explanation: divide 25.95 by 5

The equation of the function is h(x) = ∛[(1/4)x - 5] + 3 if the cube root parent function is horizontally stretched by a factor of 4.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The cube root parent function is horizontally stretched by a factor of 4, then translated 5 units right and 3 units up.

The parent function is:

f(x) = ∛x

Horizontally stretched by a factor of 4:

g(x) = ∛[(1/4)x]

Translated 5 units right:

G(x) = ∛[(1/4)x - 5]

Translated 3 units up:

h(x) = ∛[(1/4)x - 5] + 3

Thus, the equation of the function is h(x) = ∛[(1/4)x - 5] + 3 if the cube root parent function is horizontally stretched by a factor of 4.

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Step-by-step explanation:

number of hamburgers for x pounds of ground meat is

h(x) = x/0.5

x = 3.23

h(3.23) = 3.23/0.5 = 6.46

so, he could make 6 hamburgers and had some meat (0.23 pound) left.

It should be noted that the example of a census is C. The U.S. Population Census.

It should be noted that census simply has to do with knowing the population of the people in a particular place.

Therefore, it should be noted that the example of a census is The U.S. Population Census. It should be noted that this information is important to get the number of people that are living in the United States.

This can also be divided into females and malee. Therefore, the correct option is C.

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The probability of P(A and B) based on the information given will be E. None of the above.

It should be noted that probability is used to illustrate the likelihood that something will occur.

In this case, P(A) = 0.1 and P(B) = 0.4. Therefore, the probability of P(A and B) will be

= P(A) + P(B)

= 0.1 + 0.4

= 0.5

Sine the value of 0.5 isn't given, the correct option is E.

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Answer:

you should cook it for 19 hours

The words related to the mathematical operation of division are:

A division between two numbers tells us how many times the denominator can be fit into the numerator (the numerator is the number being divided by the denominator).

The "math word" used for divisions is "quotient"

The quotient between two numbers is equivalent to say the "outcome of the division between two numbers"

So that is one of the correct options.

Other correct option is "separate"

Like in the word problem example "3 friends separate evenly 9 candy between them". Here we have a division.

Similar, "cut" is also related to divisions.

The word problem "A piece of wire of 1 meter is cut into 3 pieces, how long is each one?"

Again, this is a division problem.

The last correct option is renumber, which is mostly a way of rewritting a number, but it uses divisions to do it.

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Based on the values in the table of values, the expected value of the data is -3.3

The dataset is given as

x −5 −4 −3 −2 −1

P(X=x) 0.1 0.3 0.1 0.2 0.3

The expected value of the dataset is calculated as

E(x) = ∑x * P(x)

Substitute the known values in the above equation

So, we have

E(x) = (-5 * 0.1) + (-4 * 0.3) + (-3 * 0.3) + (-2 * 0.2) +(-1 * 0.3)

Evaluate the products in the above equation

So, we have

E(x) = -0.5 - 1.2 - 0.9 - 0.4 - 0.3

Evaluate the difference in the above equation

So, we have

E(x) = -3.3

Hence, the expected value of the data is -3.3

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Antonio will save $113.4 after calculating using mensuration and buying from Pets Galore instead of Healthy pets.

As per the question statement, Antonio needs to buy 150 pounds of dog food for the local dog shelter. Healthy Pets, sells dog food in 50-pound bags for $85.95 per bag and Pets Galore sells one bag for $48.15

We are supposed to calculate the amount of money saved by Antonio if he buys 150 pounds of dog food from Pets Galore instead of from Healthy Pets.

Using concept of mensuration,

Quantity of dog food in one bag = 50 pounds

Quantity required of dog food = 150 pounds

Therefore number of bags required = 150/50 = 3

Price of dog food at Pets Galore per bag = $48.15

Total money to be paid to Pets Galore for 3 bags = $48.15*3  = $144.45

Total money to be paid to Healthy Pets for 3 bags = $85.95*3 = $275.85

Therefore money saved = $275.85 - $144.45  = $113.4

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The amount that would be in th IRA when he retires at age 65 is $21,932.15.

An annuity is a series of payment that is made over a period of time. In this question, the annuity is monthly which lasts for 47 years (65 - 18). An ordinary annuity is when the payments are made at the end of the period. An annuity due is when the payment is made at the beginning of the period.

The amount deposited increases by the amount you put in it every month and by the interest rate the account accrues. The account earns an APR, this means that interest would be compounded yearly.  

Total amount of deposits = amount deposited monthly x number of months in a year x number of years

$60 x 12 x 47 = 33,840

The formula that can be used to determine the future value of the account in 47 years is:

Monthly deposit x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$60 x [{(1.00583)^564 - 1} / 0.07] = $21,932.15

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The interpretation of the beam on the wall is that when the function is undefined, the light is not shining completely on the wall and  and the function rate of changes are 55.236, 68.276, 110.473 and 289.221

The given parameter is the graph of the beam

From the graph, we can see that the beam does not shine on all parts of the wall.

It shines on some part and doesn't on other parts

This means that the function is undefined

Hence, the interpretation of the beam on the wall is that when the function is undefined, the light is not shining completely on the wall

To do this, we use the following computations:

[d(0.1) - d(0)]/[0.1 - 0] = [5.5236 - 0]/[0.1 - 0] = 55.236

[d(0.2) - d(0.1)]/[0.2 - 0.1] = [12.3512 - 5.5236]/[0.2 - 0.1] = 68.276

[d(0.3) - d(0.2)]/[0.3 - 0.2] = [23.3985 - 12.3512]/[0.3 - 0.2] = 110.473

[d(0.4) - d(0.3)]/[0.4 - 0.3] = [52.3206 - 23.3985]/[0.4 - 0.3] = 289.221

Hence, the function rate of changes are 55.236, 68.276, 110.473 and 289.221

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Using the concept of absolute and relative change, it is found that:

a) The absolute change in the monthly cost of cable TV is of $4.15.

b) The relative change in the monthly cost of cable TV is of 5.53%.

c) The absolute change in the monthly cost of eggs is of $0.67.

d) The relative change in the monthly cost of eggs is of 39.41%.

e) Due to the higher relative change, the cost of the eggs increased the most.

Hence the absolute changes are given as follows:

The relative changes are given as follows:

Hence, for item e:

Due to the higher relative change, the cost of the eggs increased the most.

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Solving a system of equations we can see that the two numbers are 727 and 4

Let's define x as the 3-digit number and y as the one-digit number.

Then we know that the sum is equal to 731:

x + y = 731

And the product is equal to 2,908, then:

x*y = 2,908

So we have a system of equations:

x + y = 731

x*y = 2,908

Isolating x on the first equation gives:

x = 731 - y

Now we can replace that in the other equation to get:

(731 - y)*y = 2,908

Now we can solve this quadratic equation to find the value of y.

731*y - y^2 = 2,908

-y^2 + 731*y - 2,908 = 0

The solutions are:

y = (-731 ± √( 731^2 - 4*(-2,908)*(-1))/(-2)

y = (-731 ± 723)/-2

Now, y is an one digit number, then:

y = (-731 + 723)/-2 = 4

And x will be the 3 digit number:

x = 731 - x = 731 - 4 = 727

So the two numbers are 727 and 4

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The image of the translation is shape WYX is shown by option 2.

The process of substituting the axes inside a Cartesian coordinate system with such a new set of axes parallel to the first, which is used to write equations for curves that are not centered about the origin.

As, from the rule of translation along x axis;

The coordinates of the x axis are not changed and y are changed.

Thus, for the given figure XWY the image after translation about the x axis is shown by the option 2 graph.

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Answer:

x(down 1)=-11/5, x(down 2) =3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]h(x)=2x^5+(a+s)x^4+(b+t)x^3[/tex]

For the polynomial to be divisible by x⁴, the coefficient od the x³ term must be 0, and thus the answer is D.